A CHARACTERIZATION OF L-4(3) BY NSE

作者：Liu, Shitian^*; Xie, Yunxia

来源：Mathematical Reports, 2015, 17(3): 327-335.

• element order
• projective special linear group
• Thompson's problem
• number of elements of the same order

Let omega(G) be the set of element orders of G. For k is an element of omega(G) let s(k) be the number of elements of order k in G. Let nse(G) = {s(k)vertical bar k is an element of omega(G)}. The group L-4(2) congruent to A(8) is uniquely determined by nse. In this paper, we prove that if G is a group such that nse(G)=nse(L-4(3)), then G congruent to L-4(3).

• 出版日期2015
• 单位四川轻化工大学